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Finding the Fourth Proportional to 5,214.56, 7,196.04 and 2,856.69

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Solution

The fourth proportional to 5,214.56, 7,196.04 and 2,856.69 is: 3,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.56 : 7,196.04 = 2,856.69 : x
  2. Step 2: Convert to fraction form
    5,214.56/7,196.04 = 2,856.69/x
  3. Step 3: Cross multiply
    5,214.56x = 7,196.04 × 2,856.69
  4. Step 4: Simplify right side
    5,214.56x = 20,556,855.51
  5. Step 5: Solve for x
    x = 20,556,855.51/5,214.56
  6. Step 6: Final answer
    x = 3,942.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.